Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fm |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-6191411266530000000 = -1 · 27 · 36 · 57 · 73 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-799355,-299800853] |
[a1,a2,a3,a4,a6] |
Generators |
[1309:-30580:1] |
Generators of the group modulo torsion |
j |
-4959007166945889/543553252480 |
j-invariant |
L |
10.48549035063 |
L(r)(E,1)/r! |
Ω |
0.079342936159181 |
Real period |
R |
0.15732624997065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650g1 11970x1 |
Quadratic twists by: -3 5 |